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Finding the Third Proportional to 4,798.13 and 10,112.63

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Solution

The third proportional to 4,798.13 and 10,112.63 is: 21,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.13 : 10,112.63 = 10,112.63 : x
  2. Step 2: Convert to fraction form
    4,798.13/10,112.63 = 10,112.63/x
  3. Step 3: Cross multiply
    4,798.13x = 10,112.63 × 10,112.63
  4. Step 4: Simplify right side
    4,798.13x = 102,265,184.39
  5. Step 5: Solve for x
    x = 102,265,184.39/4,798.13
  6. Step 6: Final answer
    x = 21,313.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.